In a series resonant circuit, the a.c voltage across resistance $R$ inductance $L$ and capacitance $C$ are $5 V, 10 V, 10 V$ respectively. The ac voltage applied to the circuit will be

20 V

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10 V

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5 V

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25 V

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Solution

The correct option is C $5 V$
Let $V_{1}, V_{2}$ and $V_{3}$ be the voltage across resistance, inductance and capacitance.
then source voltage $(V)$ may written as
$V = \sqrt{v_{1}^{2} + ({v_{3} - v_{2})}^{2}} = \sqrt{5^{2} + ({10 - 10)}^{2}}$
$= 5 V$

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